Question

An inductor of 30 mH is connected to a 220 V, 100 Hz ac source. What will be the inductive reactance?

Answer 1

Step 1:Given:

The inductance $L=30mH$

Frequency $v=100Hz$

Step 2:Finding the inductive resistance using the formula:

The inductive resistance $X_L$is given by $X_L=2\mathrm{\pi }vL$

By substituting the given values, we get

$$\begin{gathered} X_L=2\times 3.14\times 100\times \left(30\times {10}^{-3}\right) \\ =188.4\times {10}^{-1} \\ =18.84\Omega \end{gathered}$$

Hence, the inductive resistance is $18.84\Omega$.